By Justin Scheck 

LONDON--In the coming days, the world's biggest publicly traded oil companies will report fourth-quarter earnings, offering the best look yet at the bite lower crude prices have taken out of Big Oil.

For BP PLC, lower oil prices are just one headwind. A federal trial now under way in New Orleans could levy penalties of as much as $13.7 billion for the 2010 Deepwater Horizon oil spill in the Gulf of Mexico. Meanwhile, BP owns nearly 20% of Russian producer OAO Rosneft. Kremlin-controlled Rosneft faces Western sanctions on exporting certain oil-development technology to Russia. It is also struggling with the falling ruble and weaker oil prices.

BP, which has sold more than $40 billion in assets to pay cleanup and legal costs from the Gulf spill, is also trying to rein in costs that are higher than those of some competitors.

Royal Dutch Shell PLC kicks off earnings on Thursday--the first among the four biggest nonstate-owned oil companies, or "super majors," to report. While analysts expect a hit from lower oil prices, they predict Shell's quarterly results will look good in comparison to the year-earlier quarter. Before announcing earnings in January of 2014, Shell issued its first profit warning in a decade as issues including high costs and poor refinery margins ate into earnings.

Chevron Corp. reports on Friday, with Exxon Mobil Corp., the world's biggest oil company by market value, reporting on Monday. BP follows on Tuesday.

Few analysts are predicting financial Armageddon at BP or at its big competitors. The huge, integrated oil companies are cushioned somewhat from the steep fall in prices by their refining and other processing businesses, which often benefit from a decline in crude since it lowers their cost of raw materials. The companies are loaded with cash and have taken on relatively little debt after years of high oil prices. And even at today's lower prices, many of the fields they have developed remain profitable.

Still, among the super majors, BP may be especially vulnerable, say investors and analysts. BP could face penalties far higher than the $3.5 billion it set aside for the Gulf case, potentially forcing it to dip further into its cash reserves. In July, BP reaped nearly $700 million in dividends from its first full year as a Rosneft shareholder. Analysts expect those payments to be much smaller now.

"BP has a very sound, long-term resource base," said Jason Kenney, an analyst with Santander. "But it's got some quite significant near-term earnings and cash pressures relative to its peer group." In addition to Russia and the prospective U.S. penalties, the company has a higher cost basis than competitors, he said.

Mr. Kenney calculates that BP's technical cost per barrel--which includes spending on production and exploration along with depreciation--is $32.93, compared to $30.69 for Shell, $30.13 for Chevron and $23.20 for Exxon. That is due in part to BP's rapid divestments outpacing cuts to spending.

BP said last month that while its production at the end of 2013 was about 25% lower than before the Gulf spill, its head count was slightly higher. Now, the company is cutting those costs. It recently announced layoffs in Scotland, and this week said it was freezing salaries across the company.

BP's recent high costs also stem from a series of investments it has made in big projects. Seven of those came online last year--a development that would normally be positive, except it happened just before oil prices slumped. The profit margins look far less attractive than when they were planned.

For example, BP executives including Neil Shaw, chief operating officer for the company's upstream projects, have called Angola and the North Sea "high-margin areas." But BP's Clov project in Angola, which recently came online, needs oil prices of about $60 per barrel--about 20% higher than current prices--over its lifetime to break even, Citigroup analysts estimate.

A BP North Sea project that recently began producing, called Kinnoull, has a break-even price of closer to $70 per barrel, Citi estimates. A BP spokesman says such projects are planned to produce for decades, and aren't approved based on one-year oil-price fluctuations.

BP, a staple of British pension fund portfolios, must also maintain its dividend. The company has said in recent months that it intends to maintain "progressive" dividends. That is important, says Ivor Pether, a fund manager at Royal London Asset Management, which has BP shares. "In a sense, that is the main thing they do" as far as investors are concerned, he said.

Write to Justin Scheck at justin.scheck@wsj.com

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